Modeling of working processes of a modernized hydrostatic bearing using elements of graph theory

Continuing the topic of modernization of hydrostatic bearings, the issue of rapid, targeted force influence on the change in load in hydrostatic supports of technological equipment to compensate for loads occurring during the operation of the product becomes relevant. For further research and determination of the probability of stable and uninterrupted operation of the technological system, it is recommended to use graph theory, which is a fairly correct method of analysis in structural modeling, since quite often computer programming tasks can be presented in the form of a video platform and the tasks set can be solved using straightforward research methods and techniques. The purpose of this work is to formulate theoretical frameworks and practical guidelines for the design of a novel hydrostatic support power supply system utilising graph theory. This approach enables the elucidation of the relationships between the parameters of the technical system, thereby facilitating the development of technical solutions for the stabilisation of the shaft's position during displacement under load. Given that a set of objects can be used to abstract almost any type of technical data, graph theory allows for in-depth study of the relationship between the given technical parameters of a hydrostatic bearing, which provides adequate answers to the questions of location, hydraulic system configuration, optimization and coordination of operating modes. In addition, in this formulation of the task of designing the structure of a technological system and its use, it is possible to use artificial intelligence devices, which reduces time and simplifies the construction of a mathematical model of the hydraulic system.